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Simplifying 2(4b + -6) = -6(2x + 5) Reorder the terms: 2(-6 + 4b) = -6(2x + 5) (-6 * 2 + 4b * 2) = -6(2x + 5) (-12 + 8b) = -6(2x + 5) Reorder the terms: -12 + 8b = -6(5 + 2x) -12 + 8b = (5 * -6 + 2x * -6) -12 + 8b = (-30 + -12x) Solving -12 + 8b = -30 + -12x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 8b = -30 + 12 + -12x Combine like terms: -12 + 12 = 0 0 + 8b = -30 + 12 + -12x 8b = -30 + 12 + -12x Combine like terms: -30 + 12 = -18 8b = -18 + -12x Divide each side by '8'. b = -2.25 + -1.5x Simplifying b = -2.25 + -1.5x
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